The slope of a perpendicular line is the opposite reciprocal of the original slope. So the slope is 1/3.
Answer: y = x/3 - 2
Work in attached picture.
Answer:
The correct equation in terms of s is: 4s=260
- The number of strawberry ice cream produced per day, s=65.
- The number of chocolate ice cream produced per day ,c=130.
- The number of vanilla ice cream produced per day ,v=85.
Step-by-step explanation:
Let the number of containers of strawberry ice cream produced per day=s
Let the number of containers of vanilla ice cream produced per day=v
Let the number of containers of chocolate ice cream produced per day=c
Total Number of Ice Cream Containers=280
Given:
The factory produces twice as much chocolate ice cream as strawberry ice cream. This is written as:
The factory produces 20 more containers of vanilla ice cream than strawberry ice cream. This is written as:
Therefore substituting c=2s and v=s+20 into the first equation: s+v+c=280
s+s+20+2s=280
4s=280-20
4s=260
Divide both sides by 4
s=65
The number of strawberry ice cream produced per day is 65.
The number of chocolate ice cream produced per day =2s=2(65)=130.
The number of vanilla ice cream produced per day =s+20=65+20=85.
First we have to find the diagonal of the card. We do this by using the Pythagoras theorem: A^2 = b^2 + c^2
= 6^2 + 4^2
=36 + 16
= 52
A^2= 52
Sqrt A^2 = sqrt 52
A = 7.2
Since the envelopes diagonal is 7.2 inches and the card’s diagonal is 8 inches and 7.2<8. Your answer is c)
Answer:
The two page numbers are 78 and 79.
Step-by-step explanation:
Let's take the page numbers are x and x + 1
.
The produce of the page numbers is 6162
so, x(x + 1) = 6162
Here we have to use the quadratic formula to solve for x.
The quadratic formula, x = 
Here a =1, b = 1 and c = -6162
Plugging in the value of a, b and c in the above formula, we get
x = [-1 ± 157] ÷ 2
Let's take the positive value alone since the page number cannot be negative.
x = [-1 + 157]
÷2
x = 78
The next page number x + 1 = 78 + 1 = 79
Therefore, the two page numbers are 78 and 79.
